Tunneling between single and multi-centered black hole configurations

Details Tunneling between single and multi-centered black hole configurations Tunneling between single and multi-centered black hole configurations

2012-01-14

arxiv.org/abs/1201.3028v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, 4 figures. v2: references added, v3: changes to the form of the instanton, final result remains unchanged

Scientific paper

We find a gravitational instanton that connects an initial state corresponding to a single-centered extremal Reissner-Nordstrom (ERN) black hole configuration, to a final state corresponding to a multi-centered configuration. This instanton is interpreted as describing quantum tunneling between the two different black hole solutions. We evaluate the Euclidean action for this instanton and find that the amplitude for the tunneling process is proportion to the difference in entropy between the initial and final configurations.

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